Table 2

Comparison of mass transport coefficients
i [1] j [1] β(m3s−1) βmg(m3s−1) <a onClick="popup('http://www.nanoscalereslett.com/content/8/1/20/mathml/M33','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/8/1/20/mathml/M33">View MathML</a> <a onClick="popup('http://www.nanoscalereslett.com/content/8/1/20/mathml/M34','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/8/1/20/mathml/M34">View MathML</a>
1 1 1.1×10−17 3.1×10−15 2.9×10−15 78.9
1 10 1.3×10−17 2.9×10−15 2.8×10−15 50.6
1 100 1.9×10−17 2.8×10−15 2.7×10−15 28.4
1 1,000 3.4×10−17 2.7×10−15 2.7×10−15 14.6
1 10,000 7.3×10−17 2.8×10−15 2.8×10−15 7.1
1 100,000 2.2×10−16 3.1×10−15 3.0×10−15 3.4
1 1,000,000 1.4×10−15 4.2×10−15 4.2×10−15 1.6
10 10 1.1×10−17 1.4×10−14 1.3×10−14 65.6
10 100 1.3×10−17 1.3×10−14 1.3×10−14 42.0
10 1,000 2.0×10−17 1.3×10−14 1.3×10−14 23.5
10 10,000 4.2×10−17 1.3×10−14 1.3×10−14 12.1
10 100,000 1.6×10−16 6.9×10−14 6.8×10−14 10.2
10 1,000,000 1.3×10−15 2.5×10−14 2.5×10−14 3.2
100 100 1.2×10−17 7.1×10−14 6.9×10−14 54.4
100 1,000 1.5×10−17 7.1×10−14 7.0×10−14 34.7
100 10,000 3.0×10−17 7.2×10−14 7.1×10−14 19.4
100 100,000 1.4×10−16 7.0×10−13 7.0×10−13 21.1
100 1,000,000 1.3×10−15 1.9×10−13 1.9×10−13 6.4
1,000 1,000 1.5×10−17 4.0×10−13 3.9×10−13 45.1
1,000 10,000 3.2×10−17 4.0×10−13 4.0×10−13 28.7
1,000 100,000 1.5×10−16 4.1×10−13 4.1×10−13 16.1
1,000 1,000,000 1.4×10−15 1.3×10−12 1.3×10−12 11.8
10,000 10,000 5.4×10−17 2.2×10−12 2.2×10−12 37.3
10,000 100,000 2.2×10−16 2.3×10−12 2.3×10−12 23.7
10,000 1,000,000 1.8×10−15 2.4×10−12 2.4×10−12 13.3
100,000 100,000 4.4×10−16 1.3×10−11 1.3×10−11 30.8
100,000 1,000,000 2.7×10−15 1.3×10−11 1.3×10−11 19.6

A comparison of mass transport coefficients computed by the primary model β, mass transport coefficients computed in distance LD including magnetic forces βmg, and mass transport coefficients computed in distance LD including both magnetic forces and electrostatic forces <a onClick="popup('http://www.nanoscalereslett.com/content/8/1/20/mathml/M35','MathML',630,470);return false;" target="_blank" href="http://www.nanoscalereslett.com/content/8/1/20/mathml/M35">View MathML</a>. The β represents the sum of the mass transport coefficients for Brownian motion, velocity gradient and sedimentation. Computation of LD was performed by averaging of the magnetic forces (11) for particles with ratio LD/R0 higher than 15; otherwise, the computation of magnetic forces was performed accurately by summation (10) (for more information, see [20]). Results were computed using the following values: M=570 kA/m; σ=2.5×10−5 C/m2;and G=50.

Rosická and Šembera

Rosická and Šembera Nanoscale Research Letters 2013 8:20   doi:10.1186/1556-276X-8-20

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